Mathematics

# A man wishes to cover his ﬂoor with tiles, each one measuring 3/4 inch by 2 inches. If his room is a rectangle, measuring 12 feet by 18 feet, how many such tiles will he need? A) 144, B) 1152, C) 1728, D) 9216, E) 20736 Plz help me with this problem.. :-(

#### yassautumn

4 years ago

$12\cdot18=216 \ ft^2\leftarrow\hbox{ area of the floor}\\ \frac{3}{4}\cdot2=\frac{3}{2}=1.5 \ ft^2 \leftarrow \hbox{area of a tile}\\\\ \frac{216}{1.5}=144 \Rightarrow A$
$Area floor = 18 * 12 = 216 feet^2$
$Area tile = 2 * 3/4 = 6/4 = 3/2 = 1.5 feet^2$
$216/1.5 = 144\\ So the answer is A).$